User:AforAmpere/2x2

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Revision as of 17:05, 14 May 2024 by DroneBetter (talk | contribs) (add wwei's new results for c/2, 2c/4, 3c/6, (1,1)c/3 and (1,1)c/4 (I am not sure what exactly AforAmpere meant when putting odd- and even-symmetric bounds for (1,1)c/3 separately, they are not defined for diagonal so have been marged))
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This page is an equivalent to the Spaceship Search Status Page, albeit for 2x2 instead of Life.

Known spaceships by width

The first four rows are by AforAmpere, all subsequent expansion thus far is by DroneBetter, Darren Li (enlisted for increasing 3c/7 to logical width 12 and 2c/7 asymmetrical to width 10) and wwei23 (for their ability to use JLS, which apparently utilises some manner of dark magic seeing widths far beyond those of qfind at low periods and high speeds)

all results were found with qfind except where non-orthogonal or otherwise noted

Unlike LifeWiki:Spaceship Search Status Page (which considers the maximum orthogonal width of the pattern itself), this page measures diagonal spaceships by half-diagonals of width perpendicular to travel direction (the number of cells in an orthogonal ray through the footprint left in their wake).

Velocity Asymmetric Odd-symmetric Even-symmetric
(1,0)c/2[n 1] 20 29 34
(1,0)c/3 8 13 14
(1,1)c/3 19[1] 21
(1,0)c/4 8 13 16
(2,0)c/4[n 2] 20[1] 27[1] 28[2]
(1,1)c/4 16[1] 19[1]
(1,0)c/5 9 15 16
(2,0)c/5 12
13 (JLS)[1] 		21 16
(1,0)c/6 10 15 16
(2,0)c/6 9 13 14
(3,0)c/6 13 < w ≤ 20[1] 25 24
(1,0)c/7 8 13 16
(2,0)c/7 10[n 3] 17[n 4] 18
(3,0)c/7 12[n 5] 23[n 6] 24[n 7]
(1,0)c/8 7[n 8] 13[n 9] 14[n 10]
(2,0)c/8 8 11 14
(3,0)c/8 9 17 18
(4,0)c/8 11 21 22
(1,0)c/9 6 11[n 11] 12
(2,0)c/9 7[n 12] 13[n 13] 14[n 14]
(3,0)c/9 7 13 14
(4,0)c/9 10 19 20
(1,0)c/10 5 9 10
(2,0)c/10 6 9 10
(3,0)c/10 7 11 12
(4,0)c/10 8 15 16
(5,0)c/10 10 19 20
(1,0)c/11 5 7 10
(2,0)c/11 6 9 10
(3,0)c/11 7 11 12
(4,0)c/11 8 15[n 15] 16
(5,0)c/11 9 17 16
(1,0)c/12 5 9 110
(2,0)c/12 5 9[n 16] 10
(3,0)c/12 5 9 10
(4,0)c/12 6 11 12
(5,0)c/12 8 15 16
(6,0)c/12 9 17 18
(2,0)c/38 w ≤ 16
x = 654, y = 90, rule = B36/S125 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#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 3955 HEIGHT 560 ZOOM 6 ]]
Spaceships of speed c/2, 2c/4,[2] 2c/5, c/3, 2c/6,[2] c/4, c/5, c/6,[2][3] c/7,[4] 2c/38,[5] (1,1)c/8, (1,1)c/4 and (1,1)c/3.
(click above to open LifeViewer)

Notes

  1. ↑ these were found with JLS,[1] qfind cannot reach beyond logical width 14
  2. ↑ asym and odd were found with JLS,[1] with qfind I got disproofs of 14a, 25o and 26e (which proves Josh Ball's 28e minimal-width, if not height)
  3. ↑ 10*47 partial
    5b3o$8bo$3b2o3bo$3bo$2b3obo$2bo2bo$b2obo$4bo$3b2o2bo$2b3obobo2$5bo$3b2o3bo$2b5o$2b2ob2o$4bo$2b2o$6bo$2b2o3bo$4b3o$2b2o2b2o$2b2obobobo$3bo2bo$2b3ob3o$2b
    o$2bo2bo$2bo2bo$4bo2bo$7b2o$bo6bo$bob2o$2obo$bobob2o$bo2bo$bo2bo$2b2o3bo$bo2b2o$2o2bobo$bo2bo$2b2o$bo2bob3o$bo3b4o$bobob2ob2o$bo3b2o$2bob3o$bo$bo5bobo!
  4. ↑ 17*183 partial
    2b2ob2o3b2ob2o$2b2o3bobo3b2o$2b3o7b3o$4bob2ob2obo$4b2o5b2o2$4bo7bo$4b2obobob2o$2bo11bo$bo2bobobobob
    o2bo$6bo3bo$3bobobobobobo$3b3o5b3o$2bob9obo2$2bo11bo$3b2o7b2o$5b2obob2o$4bo7bo$3bo2b5o2bo$4bo2bobo2
    bo$5b3ob3o$5b2o3b2o$4b2o5b2o$3bo9bo$3bo9bo$b2o3bo3bo3b2o$3ob2obobob2ob3o$4bo7bo$2bo11bo$2b2obo5bob2
    o$bo2b9o2bo$o3b3obob3o3bo$4b2ob3ob2o$7b3o$7b3o$7b3o$3b2o3bo3b2o$3bob2o3b2obo$4bobo3bobo$2bobo2bobo2
    bobo$2bobobo3bobobo$5bo5bo$2bo11bo$7b3o2$5bo5bo$6bo3bo$5bo2bo2bo$4bo2bobo2bo$3b2ob2ob2ob2o$6bobobo$
    2bo3b2ob2o3bo$2b2o9b2o$6b2ob2o$8bo$7bobo$4b3o3b3o$4bobo3bobo$4bo2bobo2bo$5b7o2$4bobobobobo$3b2o7b2o
    $2bo5bo5bo$obo3bo3bo3bobo$2bo11bo$2obo9bob2o$3b2o7b2o$3b3o5b3o$6b2ob2o3$3b3o5b3o$3b2o7b2o$2b2o3b3o3
    b2o$2b2o2bo3bo2b2o$7b3o$4bobo3bobo$3b3o2bo2b3o$3bobo5bobo$2bo2bo5bo2bo$bo2b3o3b3o2bo$o2bo2bo3bo2bo2
    bo$bo13bo2$obo11bobo$bob2o7b2obo$bo3bo5bo3bo$4b2o5b2o$3b2obo3bob2o$2bobob2ob2obobo$4b3o3b3o$4bo2bob
    o2bo$3bobobobobobo$3b2obo3bob2o$6b5o$5bo5bo2$5bo5bo$4bobo3bobo$4b2o5b2o2$7b3o2$5b2o3b2o$7bobo$4bo7b
    o$3bo4bo4bo$3b2o2b3o2b2o$8bo$7b3o$4b3obob3o$3bo2bo3bo2bo$5bo5bo$b2o11b2o$b3o9b3o$bo2bo2bobo2bo2bo$2
    b2ob3ob3ob2o$4b2o2bo2b2o$4b3o3b3o$5b2o3b2o$5b2o3b2o$6bo3bo$5b2o3b2o$5b2o3b2o$3bo9bo$6b2ob2o$2bo2b3o
    b3o2bo$bo2bob2ob2obo2bo$bobo3b3o3bobo$2b2o3b3o3b2o$4bob2ob2obo$4b3o3b3o$6bo3bo$4b3o3b3o$3b2ob2ob2ob
    2o$3b5ob5o$2bob4ob4obo$4bo2bobo2bo$5bo2bo2bo$3bo3bobo3bo$4bobo3bobo2$4bob5obo$6b2ob2o$4b4ob4o$2bob3
    o3b3obo$2bobobobobobobo$4b9o$3b2o7b2o$2b2ob2o3b2ob2o$2b3o2bobo2b3o$4bobo3bobo2$6bobobo2$6bo3bo$2b2o
    bo5bob2o$8bo$2b2o4bo4b2o$bo2bobobobobo2bo$o2b3ob3ob3o2bo$4o9b4o$bob2o7b2obo$5b2o3b2o$2b2o3bobo3b2o$
    bo3bobobobo3bo$o3b4ob4o3bo$4bobo3bobo$bo2b2o5b2o2bo$2b3o7b3o$4bob2ob2obo$4bo7bo$3bo4bo4bo$bo2bo2bob
    o2bo2bo$bobo3bobo3bobo$2b2obobobobob2o$2bo11bo$3b2o2b3o2b2o$2bo2b7o2bo$o2b2obobobob2o2bo$ob5o3b5obo!
    seems promising
  5. ↑ 12*26 partial
    4b5o2$5bobo$5bobo$4bobo$2b3obobo$4bo4b2o$bo4bo2b2o$b2obo2bob2o$5b2obob2o$3bo2bo2b2o$4b2o$4b2obo$2bo2b2
    o2bo$bo4bo2b2o$o2bo2bob2o$obobo$3bo$2b2ob6o$2bo4bo2b2o$6b4o$bo6b2o$4b3o3bo$3bo6bo$3o2bob2obo$bo4bo4bo!
  6. ↑ 23*89 partial
    4bo13bo$2bobobo9bobobo$3b3o11b3o2$2b5o9b5o$2bo2bo11bo2bo$b2obob2o3bo3b2obob2o$2bobobob2obob2obobobo$
    2bo7bobo7bo$2bo2b2o9b2o2bo$6bo3bobo3bo$3bo2bo3bobo3bo2bo$10b3o$4bobobo5bobobo$10b3o$10b3o$6bo2bo3bo2
    bo$7bo7bo$6b3obobob3o$6b2o7b2o$9bo3bo$7bobo3bobo$6bo9bo$8bo5bo$6bo3b3o3bo$6bo2b5o2bo$7bo2bobo2bo$9bo
    3bo$7bo3bo3bo$6bo3b3o3bo$4bobobob3obobobo$5bo3b5o3bo$5bobo7bobo$5b2o4bo4b2o$3b2o2bobo3bobo2b2o$2bo2b
    o2b2o3b2o2bo2bo$2bobobobo5bobobobo$2bobo6bo6bobo$bobo5bobobo5bobo$b2o2bo2b3ob3o2bo2b2o$b2o3bob3ob3ob
    o3b2o$2o2bo13bo2b2o$bo3bobo7bobo3bo$2b5o3bobo3b5o$4bo13bo$4b5o5b5o$3bo15bo$4b3obo5bob3o$3b2ob2o7b2ob
    2o$2b3o13b3o$2b5o9b5o$3b3obo7bob3o$5bo3b5o3bo$5b4o2bo2b4o$4bo2b2o5b2o2bo$4b2o3b2ob2o3b2o$3bo3b3obob3o
    3bo$3b6obobob6o$4b2ob2o5b2ob2o$4b2o3bo3bo3b2o$3bo15bo$8b3ob3o$6bobo5bobo$3bobo2bobobobo2bobo$b2obobo
    3bobo3bobob2o$o2b2obo9bob2o2bo2$5bo2b2o3b2o2bo$2bo4bo2bobo2bo4bo$o6bo3bo3bo6bo$4b2obo3bo3bob2o$2bobo
    2bo3bo3bo2bobo$3b2o3bobobobo3b2o$2bobo4b2ob2o4bobo$2bobo2bo2bobo2bo2bobo$2b2o2bobo2bo2bobo2b2o$o3bo2b
    o2b3o2bo2bo3bo$bobo2b2ob2ob2ob2o2bobo$6b2o3bo3b2o$2bob5o5b5obo$4bo4bobobo4bo$3bo5bobobo5bo$ob2ob4ob3
    ob4ob2obo$6bo9bo$o3b3o2bo3bo2b3o3bo$2bo4b2obobob2o4bo$3bo5bo3bo5bo$obo2bob2o2bo2b2obo2bobo$2b2o15b2o!
  7. ↑ 24*50 partial
    6b3o6b3o$5b5o4b5o$5bo3bo4bo3bo$6bobob4obobo$6bo4b2o4bo$7bob6obo$4b2o5b2o5b2o$6b2o2b4o2b2o$4b3obo6bo
    b3o$6bo2bo4bo2bo$6b4o4b4o$6bo10bo$6bo2bo4bo2bo$7bobo4bobo$5b2obobo2bobob2o$4b7o2b7o$7b2o2b2o2b2o$7b
    obo4bobo$3bo4bo2b2o2bo4bo$7bo3b2o3bo$4bo2bo3b2o3bo2bo$4bobo10bobo$6bo10bo$3bo4b3o2b3o4bo$4bo3b8o3bo
    $10b4o$5b2o2bo4bo2b2o$4bob2o2bo2bo2b2obo$3bo16bo$9bob2obo$3bo2b3o2b2o2b3o2bo$4b3obo6bob3o$8bo6bo$3b
    o2bo2b2o2b2o2bo2bo$2b2o2bob3o2b3obo2b2o$2bo2bo12bo2bo$o2b2ob2o2bo2bo2b2ob2o2bo$ob2o16b2obo$4b2o2b3o
    2b3o2b2o$2bo4bobob2obobo4bo$7bobob2obobo$3b2obo4b2o4bob2o$2b3o5bo2bo5b3o$2obobobo8bobobob2o$bob2o2b
    o3b2o3bo2b2obo$obobob3ob4ob3obobobo$b5ob2ob4ob2ob5o$3bo3bo8bo3bo$ob2o2b12o2b2obo$2bo2b2o4b2o4b2o2bo!
  8. ↑ 7*35 partial
    2bo$3b3o$2bo2bo$2bobo$2bo$5bo$2bo2b2o$3b3o$2bo$bobo2$o2bo$4b2o$6bo$2bo3bo$4b2o$b2obo2$ob2ob2
    o$obo$2bo$2bob2o$4bobo$4bobo$3b3o$3bo$2bob2o$2bo3bo$2bob2o$bo$b2o3bo$b2o$b2o2bo$3o2bo$2ob2o!
  9. ↑ 13*79 partial
    2o9b2o$2bo2bobo2bo$3obo3bob3o$3bo5bo$3
    bo5bo$2bo7bo$2b4ob4o$2b2o5b2o$5bobo2$5
    bobo$4bo3bo$2b2o5b2o$5bobo$3bo5bo$b3ob
    obob3o$bo3bobo3bo$2b2o5b2o$6bo$5bobo$6
    bo2$4bo3bo2$3bo5bo$o3b5o3bo$ob9obo$bo9
    bo2$3b7o$5b3o$3bob3obo$3bo2bo2bo$2b2ob
    obob2o$2b4ob4o$bob2o3b2obo$o3bo3bo3bo$
    o5bo5bo$b2ob2ob2ob2o$2bo7bo$bo2bo3bo2b
    o$2obo5bob2o$b2obobobob2o$4b2ob2o$6bo$
    6bo$4bo3bo$4bo3bo$5b3o$3b2obob2o$4bo3b
    o$bo3bobo3bo$2b3o3b3o$3bo2bo2bo$bo3bob
    o3bo$2b2o2bo2b2o2$4b2ob2o$2b2ob3ob2o$o
    11bo$o2bo2bo2bo2bo$4bo3bo$2b2o5b2o$2b2
    o5b2o$4bo3bo$4bo3bo$2bo7bo2$bob2o3b2ob
    o$3obobobob3o$bo4bo4bo$bo2bobobo2bo$b2
    o3bo3b2o$2o2bobobo2b2o$2obo5bob2o$2b3o
    3b3o$b3obobob3o$2obo5bob2o$o3bo3bo3bo!
  10. ↑ 14*70 partial
    o12bo$o2bob4obo2bo$3b2ob2ob2o$bo10bo$bo10bo$2b2obo2bob2o$6b2o$6b2o$3bo2b2o2bo$3b3o2b3o$3
    bo6bo2$6b2o$3bob4obo$5b4o$b3o6b3o$o12bo$3bo6bo$bo3bo2bo3bo$5bo2bo$3bo6bo$3b2o4b2o$2b2o6b
    2o$2b2obo2bob2o$b2o8b2o$b2o8b2o$2b4o2b4o$b3o2b2o2b3o$3b2o4b2o$2bo2bo2bo2bo$bo2bo4bo2bo$b
    2o2bo2bo2b2o$o12bo$2obo6bob2o$2bo8bo$2b2o6b2o$3b2o4b2o$4bob2obo$bo2bo4bo2bo$4bo4bo$2bo8b
    o$bo4b2o4bo$4bo4bo$bo2bo4bo2bo$5bo2bo$3b8o$2bob6obo$bob3o2b3obo$4bo4bo$b2o8b2o$3bo6bo$3o
    b2o2b2ob3o$4bo4bo$5bo2bo$3bo6bo$3b2o4b2o$2bob6obo$bo2b6o2bo$bo3b4o3bo$bo10bo$2bob2o2b2ob
    o2$2b2obo2bob2o$bo2bo4bo2bo$b4o4b4o$3b2ob2ob2o$b2o3b2o3b2o$o3b2o2b2o3bo$obo8bobo$2bo8bo!
  11. ↑ 11*70 partial
    4bobo$3bo3bo$3bobobo$3b2ob2o$5bo$3b2ob2o$bobo3bobo$2bobobobo$4bobo$4bobo$3bo3bo$2b2o3b2o$3b5o2$3b5o$2bo5bo2$4bobo2$3bo3bo$3bobob
    o$3bobobo$3bobobo$5bo$2bo2bo2bo$2bo5bo$3obobob3o$obo5bobo$3bo3bo$b2o5b2o$2b2o3b2o$3b5o$3bo3bo$5bo$2b2o3b2o$2bob3obo$3bo3bo$4bobo
    $bobo3bobo$ob2obob2obo$3bo3bo$2b2o3b2o2$4bobo$b4ob4o2$2bo5bo2$2b2obob2o$bo2b3o2bo$2o7b2o$3bo3bo2$5bo$2o7b2o$b4ob4o$4b3o$bo2b3o2b
    o$3bobobo$3bobobo$bobo3bobo$3ob3ob3o$4b3o$2bo2bo2bo$obo5bobo$bob2ob2obo2$2bo5bo$b3o3b3o$b9o!
    longest of all symmetries
  12. ↑ 7*24 partial
    5bo$2bobo$bo3bo$2o2b2o$bo3bo$2b2obo$3b2o2$3b2o$3bo$2bo$bo2$3b2o$b2obo$3b2o$4bo$bo3bo$bob3o$2ob2o$2bobo$bo2bo$bobobo$o3b3o!
  13. ↑ 13*54 partial
    4b5o2$4bo3bo$3b2o3b2o$4b2ob2o$5b3o$3o3bo3b3o$2bo7bo$2bo7bo$b3o5b3o$2b3o3b3o$b11o$5bobo$5bobo$5bobo$b2o3bo3b2o$ obobobobobobo$6bo$6bo$3b2o3b2o$3o7b3o$ob2ob3ob2obo$bob2obob2obo$3b2obob2o$4bobobo2$5bobo$3bo2bo2bo$2b2o2bo2b2o $b3o2bo2b3o$bo2bo3bo2bo$5bobo$bo9bo$b3o5b3o$2bo7bo$3bob3obo$2b2obobob2o$2b2o5b2o$4bobobo$2bo7bo$bo3bobo3bo$o 11bo$bo9bo$2b2o5b2o$2b9o$b2o3bo3b2o$4bo3bo$o5bo5bo$4b2ob2o$2obo2bo2bob2o$3bob3obo$2bo3bo3bo$2obob3obob2o$3bo5bo!
  14. ↑ 14*59 partial
    5bo2bo$5bo2bo2$3bobo2bobo$3bobo2bobo$4b6o$6b2o2$3b8o$6b2o$5bo2bo$bo4b2o4bo2$3b3o2b3o$b2o2bo2bo2b2o$bo10bo$4b6o$2bo3b2o3bo$4bob2o bo$2bo8bo$2bo2bo2bo2bo$b12o$2bob6obo2$3b3o2b3o$2b2o6b2o$bo3b4o3bo$2obo6bob2o$b2obo4bob2o$4bob2obo$3b3o2b3o$6b2o$6b2o$5bo2bo$bobo 6bobo$3b3o2b3o$bo2b2o2b2o2bo$5b4o$4bo4bo$4bo4bo$4bo4bo$4bo4bo$o3bo4bo3bo$o4bo2bo4bo2$3b2o4b2o$5bo2bo$b3o6b3o$bo2b2o2b2o2bo$2b3o4b 3o$2o10b2o$3b2o4b2o$2bo2b4o2bo$3b2o4b2o$o12bo$bo3b4o3bo$3b2ob2ob2o$bo2b2o2b2o2bo$2b2obo2bob2o!
  15. ↑ 15*94 partial
    5bo3bo$2bo2b5o2bo$2b2o7b2o$o4bo3bo4bo$bobob2ob2obobo$b2o2bo3bo2b2o2$5b2ob2o$5bo3bo$3bo7bo$3bo2b3o2bo$bobo3bo3bobo$3bo2bobo2bo$3bobo3bobo$5bobobo$5bo3bo
    $5bobobo$7bo$4bo5bo$3b2ob3ob2o$2bo2b2ob2o2bo$b2o2b2ob2o2b2o$2bo3b3o3bo$3b2ob3ob2o$3b2obobob2o$ob3o5b3obo$b4o5b4o$2ob2o5b2ob2o$2o2bo5bo2b2o$5bo3bo$4bo5b
    o$3b2o5b2o$b2o9b2o$b2o9b2o$4bo5bo$3bo7bo$bob2o5b2obo$2b2o7b2o$5bo3bo$4b2o3b2o$2b2o3bo3b2o$bo2b2obob2o2bo$2b2o2b3o2b2o$4bo5bo$bo2b2o3b2o2bo$bo11bo$3b3ob
    ob3o$5b2ob2o$3b2o2bo2b2o$4b7o$2bo2bo3bo2bo$4bo5bo$7bo$4bo5bo$5bo3bo$4bo2bo2bo$3b4ob4o$3b9o$2b2ob2ob2ob2o$b3ob2ob2ob3o$2b2ob2ob2ob2o$4bobobobo$2bo2bo3bo
    2bo$5bo3bo$2obob5obob2o$2obo7bob2o$7bo$4bobobobo$2b2o7b2o$bo11bo$6b3o$ob2o7b2obo$bo2bobobobo2bo$5bo3bo$4b2o3b2o$b3o2bobo2b3o$bob2obobob2obo$2bobo2bo2bo
    bo$o2b2o2bo2b2o2bo$o4b2ob2o4bo$3bo7bo$2b2o3bo3b2o$bo2bo2bo2bo2bo$6b3o$5bo3bo$5bo3bo$b4o5b4o$b2o3bobo3b2o$bo5bo5bo$b13o$4b7o$3bo7bo$4o3bo3b4o$3bo2bobo2bo!
  16. ↑ 9*44 partial
    2bo3bo$2b5o$bo5bo$b2o3b2o$2bo3bo3$3b3o2$b2obob2o$4bo$3bobo2$3b3o$3bobo$bo5bo$bob3obo$
    3b3o$3b3o$b2o3b2o$3bobo$3bobo$bobobobo$o7bo$2o5b2o2$3bobo$2b2ob2o$bob3obo$4bo2$b2o3b2
    o$2bobobo$3b3o2$bo2bo2bo$bo2bo2bo$2bo3bo$2b2ob2o$2bo3bo$4bo$b2obob2o$o2bobo2bo$4ob4o!

References

  1. ↑ 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 wwei47 (May 13, 2024). Re: 2x2, in which c/2 was confirmed to have widths 20a, 29o and 34e, 2c/4 to have 20a and 27o, 3c/6 ≤20a, (1,1)c/3 =19a, (1,1)c/4 =13a, and 2c/5 >13
  2. ↑ 2.0 2.1 2.2 2.3 velcrorex (November 5, 2015). Re: 2x2, in which a 15o c/6, 18e 2c/6 and 28e 2c/4 were found
  3. ↑ DroneBetter (March 21, 2024). Re: 2x2, in which c/6a was found to be 10
  4. ↑ lordlouckster (July 16, 2022). Re: 2x2, in which a c/7 w13o was found
  5. ↑ creeperman7002 (March 29, 2024). Re: Soup search results in rules other than Conway's Life, in which a 2c/38 at w16e was found

External links

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